10.Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the number of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results shown below are bacteria counts per cubic foot. Carpeted room Uncarpeted room Mean Standard deviation Sample size 11.2 2.6774 9.7875 3.21 8 8 Test using a significance level of 0.01 whether the mean bacteria count is higher for carpeted rooms than for uncarpeted rooms. Show all steps using the critical value method. The value of the test statistic is t=0.955 and the p-value is 0.1778. Show your null and alternative hypothesis and state your conclusion.

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10.Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the number of
bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight
carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results shown
below are bacteria counts per cubic foot.
Carpeted room
Uncarpeted room
Mean
Standard
deviation
Sample size
11.2 2.6774
9.7875 3.21
8
8
Test using a significance level of 0.01 whether the mean bacteria count is higher for carpeted rooms than for uncarpeted rooms.
Show all steps using the critical value method. The value of the test statistic is t=0.955 and the p-value is 0.1778. Show your null
and alternative hypothesis and state your conclusion.
Transcribed Image Text:10.Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the number of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results shown below are bacteria counts per cubic foot. Carpeted room Uncarpeted room Mean Standard deviation Sample size 11.2 2.6774 9.7875 3.21 8 8 Test using a significance level of 0.01 whether the mean bacteria count is higher for carpeted rooms than for uncarpeted rooms. Show all steps using the critical value method. The value of the test statistic is t=0.955 and the p-value is 0.1778. Show your null and alternative hypothesis and state your conclusion.
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